10779361281 has 16 divisors (see below), whose sum is σ = 17197841920. Its totient is φ = 6633452880.

The previous prime is 10779361273. The next prime is 10779361339. The reversal of 10779361281 is 18216397701.

10779361281 is a `hidden beast` number, since 1 + 0 + 7 + 7 + 9 + 361 + 281 = 666.

It is not a de Polignac number, because 10779361281 - 2³ = 10779361273 is a prime.

It is a super-3 number, since 3×10779361281³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10779360281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15354865 + ... + 15355566.

It is an arithmetic number, because the mean of its divisors is an integer number (1074865120).

It is a Proth number, since it is equal to 1285 ⋅ 2²³ + 1 and 1285 < 2²³.

Almost surely, 2^10779361281 is an apocalyptic number.

It is an amenable number.

10779361281 is a deficient number, since it is larger than the sum of its proper divisors (6418480639).

10779361281 is a wasteful number, since it uses less digits than its factorization.

10779361281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30710453 (or 30710447 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 10779361281 in words is "ten billion, seven hundred seventy-nine million, three hundred sixty-one thousand, two hundred eighty-one".